GCF of 7870/873, 7416/7027
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7870/873, 7416/7027 i.e 2/6134571 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7870/873, 7416/7027.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 7870/873,7416/7027?
Given fractions are 7870/873,7416/7027
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 7870/873,7416/7027, numerators are 7870,7416
Denominators are 873,7027
The GCF of 7870,7416 is 2 .
LCM of 873,7027 is 6134571.
The greatest common factor of 7870/873,7416/7027 = [GCF of 7870,7416]/[LCM of 873,7027]= 2/6134571
Therefore, the GCF of 7870/873,7416/7027 is 2/6134571.
To find the highest common factor of 7870,7416, we have to find the factors of both numbers and list the highest common factor.
The factors of 7870 are 1, 2, 5, 10, 787, 1574, 3935, 7870
The factors of 7416 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 103, 206, 309, 412, 618, 824, 927, 1236, 1854, 2472, 3708, 7416
The HCF of 7870,7416 is 2.
Lets's calculate GCF of 7870,7416
| 2 | 7870, 7416 |
| 3935, 3708 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7870,7416 By Matching Biggest Common Factor Method
Now, list down the factors of 7870
:1,2,5,10,787,1574,3935,7870
Now, list down the factors of 7416
:1,2,3,4,6,8,9,12,18,24,36,72,103,206,309,412,618,824,927,1236,1854,2472,3708,7416
Greatest Common Factor
We found the factors 7870,7416 . The biggest common factor number is the GCF number.
So the greatest common factor 7870,7416 is 2.
Lets's calculate LCM of 873,7027
Given numbers has no common factors except 1. So, there LCM is their product i.e 6134571
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6134571
Therefore, the GCF of Fractions 7870/873,7416/7027 is 2/6134571
Least Common Multiple of 873,7027 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 873,7027 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(873,7027) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(873,7027) x common factors =1 x 1 = 1
LCM(873,7027) = ( 873 × 7027 ) / 1
LCM(873,7027) = 6134571 / 1
LCM(873,7027) = 6134571
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FAQs on GCF of Fractions of 7870/873, 7416/7027
1. What is the HCF of 7870,7416?
The HCF of 7870,7416 is 2
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 7870/873, 7416/7027?
Answer: GCF of Numerators as per given numbers 7870/873, 7416/7027 is
GCF of Numerators i.e. for 7870,7416 is 2
LCM of denominators i.e. for 873,7027 is 6134571.
Thus, GCF of Fractions is 2/6134571.Finally, GCF of Fractions for 7870/873, 7416/7027 is 2/6134571.